We define geometric/unipotent crystal structure on maximal unipotent subgroups of semi-simple algebraic groups. We shall show that in An-case, their ultra-discretizations coincide with crystals obtained by generalizing Young tableaux. (c) 2005 Els...
JOURNAL OF GEOMETRY AND PHYSICS 53(2) 197-225 2005年2月 [査読有り]
We define geometric crystals and unipotent crystals for arbitrary Kac-Moody groups and describe geometric and unipotent crystal structures on the Schubert varieties. We give some examples in affine sl(2)-case. (C) 2004 Elsevier BX All rights reser...